Amplification of quadratic Hamiltonians

Autores
Arenz, Christian; Bondar, Denys I.; Burgarth, Daniel; Cormick, Maria Cecilia; Rabitz, Herschel
Año de publicación
2020
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Speeding up the dynamics of a quantum system is of paramount importance for quantum technologies. However, in finite dimensions and without full knowledge of the details of the system, it is easily shown to be impossible. In contrast we show that continuous variable systems described by a certain class of quadratic Hamiltonians can be sped up without such detailed knowledge. We call the resultant procedure Hamiltonian amplification (HA). The HA method relies on the application of local squeezing operations allowing for amplifying even unknown or noisy couplings and frequencies by acting on individual modes. Furthermore, we show how to combine HA with dynamical decoupling to achieve amplified Hamiltonians that are free from environmental noise. Finally, we illustrate a significant reduction in gate times of cavity resonator qubits as one potential use of HA.
Fil: Arenz, Christian. University of Princeton; Estados Unidos
Fil: Bondar, Denys I.. University of Tulane; Estados Unidos
Fil: Burgarth, Daniel. Macquarie University; Australia
Fil: Cormick, Maria Cecilia. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Instituto de Física Enrique Gaviola. Universidad Nacional de Córdoba. Instituto de Física Enrique Gaviola; Argentina. Universidad Nacional de Córdoba; Argentina
Fil: Rabitz, Herschel. University of Princeton; Estados Unidos
Materia
QUANTUM CONTROL
QUADRATIC HAMILTONIANS
EVOLUTION SPEED
SQUEEZING
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/137387
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Amplification of quadratic HamiltoniansArenz, ChristianBondar, Denys I.Burgarth, DanielCormick, Maria CeciliaRabitz, HerschelQUANTUM CONTROLQUADRATIC HAMILTONIANSEVOLUTION SPEEDSQUEEZINGhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1Speeding up the dynamics of a quantum system is of paramount importance for quantum technologies. However, in finite dimensions and without full knowledge of the details of the system, it is easily shown to be impossible. In contrast we show that continuous variable systems described by a certain class of quadratic Hamiltonians can be sped up without such detailed knowledge. We call the resultant procedure Hamiltonian amplification (HA). The HA method relies on the application of local squeezing operations allowing for amplifying even unknown or noisy couplings and frequencies by acting on individual modes. Furthermore, we show how to combine HA with dynamical decoupling to achieve amplified Hamiltonians that are free from environmental noise. Finally, we illustrate a significant reduction in gate times of cavity resonator qubits as one potential use of HA.Fil: Arenz, Christian. University of Princeton; Estados UnidosFil: Bondar, Denys I.. University of Tulane; Estados UnidosFil: Burgarth, Daniel. Macquarie University; AustraliaFil: Cormick, Maria Cecilia. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Instituto de Física Enrique Gaviola. Universidad Nacional de Córdoba. Instituto de Física Enrique Gaviola; Argentina. Universidad Nacional de Córdoba; ArgentinaFil: Rabitz, Herschel. University of Princeton; Estados UnidosVerein zur Forderung des Open Access Publizierens in den Quantenwissenschaften2020-05-25info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/137387Arenz, Christian; Bondar, Denys I.; Burgarth, Daniel; Cormick, Maria Cecilia; Rabitz, Herschel; Amplification of quadratic Hamiltonians; Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften; Quantum; 4; 25-5-2020; 1-132521-327XCONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://quantum-journal.org/papers/q-2020-05-25-271/info:eu-repo/semantics/altIdentifier/arxiv/https://arxiv.org/abs/1806.00444info:eu-repo/semantics/altIdentifier/doi/10.22331/q-2020-05-25-271info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-22T12:06:34Zoai:ri.conicet.gov.ar:11336/137387instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-10-22 12:06:34.314CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Amplification of quadratic Hamiltonians
title Amplification of quadratic Hamiltonians
spellingShingle Amplification of quadratic Hamiltonians
Arenz, Christian
QUANTUM CONTROL
QUADRATIC HAMILTONIANS
EVOLUTION SPEED
SQUEEZING
title_short Amplification of quadratic Hamiltonians
title_full Amplification of quadratic Hamiltonians
title_fullStr Amplification of quadratic Hamiltonians
title_full_unstemmed Amplification of quadratic Hamiltonians
title_sort Amplification of quadratic Hamiltonians
dc.creator.none.fl_str_mv Arenz, Christian
Bondar, Denys I.
Burgarth, Daniel
Cormick, Maria Cecilia
Rabitz, Herschel
author Arenz, Christian
author_facet Arenz, Christian
Bondar, Denys I.
Burgarth, Daniel
Cormick, Maria Cecilia
Rabitz, Herschel
author_role author
author2 Bondar, Denys I.
Burgarth, Daniel
Cormick, Maria Cecilia
Rabitz, Herschel
author2_role author
author
author
author
dc.subject.none.fl_str_mv QUANTUM CONTROL
QUADRATIC HAMILTONIANS
EVOLUTION SPEED
SQUEEZING
topic QUANTUM CONTROL
QUADRATIC HAMILTONIANS
EVOLUTION SPEED
SQUEEZING
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv Speeding up the dynamics of a quantum system is of paramount importance for quantum technologies. However, in finite dimensions and without full knowledge of the details of the system, it is easily shown to be impossible. In contrast we show that continuous variable systems described by a certain class of quadratic Hamiltonians can be sped up without such detailed knowledge. We call the resultant procedure Hamiltonian amplification (HA). The HA method relies on the application of local squeezing operations allowing for amplifying even unknown or noisy couplings and frequencies by acting on individual modes. Furthermore, we show how to combine HA with dynamical decoupling to achieve amplified Hamiltonians that are free from environmental noise. Finally, we illustrate a significant reduction in gate times of cavity resonator qubits as one potential use of HA.
Fil: Arenz, Christian. University of Princeton; Estados Unidos
Fil: Bondar, Denys I.. University of Tulane; Estados Unidos
Fil: Burgarth, Daniel. Macquarie University; Australia
Fil: Cormick, Maria Cecilia. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Instituto de Física Enrique Gaviola. Universidad Nacional de Córdoba. Instituto de Física Enrique Gaviola; Argentina. Universidad Nacional de Córdoba; Argentina
Fil: Rabitz, Herschel. University of Princeton; Estados Unidos
description Speeding up the dynamics of a quantum system is of paramount importance for quantum technologies. However, in finite dimensions and without full knowledge of the details of the system, it is easily shown to be impossible. In contrast we show that continuous variable systems described by a certain class of quadratic Hamiltonians can be sped up without such detailed knowledge. We call the resultant procedure Hamiltonian amplification (HA). The HA method relies on the application of local squeezing operations allowing for amplifying even unknown or noisy couplings and frequencies by acting on individual modes. Furthermore, we show how to combine HA with dynamical decoupling to achieve amplified Hamiltonians that are free from environmental noise. Finally, we illustrate a significant reduction in gate times of cavity resonator qubits as one potential use of HA.
publishDate 2020
dc.date.none.fl_str_mv 2020-05-25
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/137387
Arenz, Christian; Bondar, Denys I.; Burgarth, Daniel; Cormick, Maria Cecilia; Rabitz, Herschel; Amplification of quadratic Hamiltonians; Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften; Quantum; 4; 25-5-2020; 1-13
2521-327X
CONICET Digital
CONICET
url http://hdl.handle.net/11336/137387
identifier_str_mv Arenz, Christian; Bondar, Denys I.; Burgarth, Daniel; Cormick, Maria Cecilia; Rabitz, Herschel; Amplification of quadratic Hamiltonians; Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften; Quantum; 4; 25-5-2020; 1-13
2521-327X
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://quantum-journal.org/papers/q-2020-05-25-271/
info:eu-repo/semantics/altIdentifier/arxiv/https://arxiv.org/abs/1806.00444
info:eu-repo/semantics/altIdentifier/doi/10.22331/q-2020-05-25-271
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften
publisher.none.fl_str_mv Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 12.982451

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